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m Undo revision 36837 by PiotrGrochowski (talk) Tag: Undo |
added some color names |
||
| Line 12: | Line 12: | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
![[Kite's color notation|Color Name]] | |||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 17: | Line 18: | ||
|- | |- | ||
| limma, Pythagorean minor second | | limma, Pythagorean minor second | ||
|sw2, small wa 2nd | |||
| [[256/243|256 / 243]] | | [[256/243|256 / 243]] | ||
| {{Monzo| 8 -5 }} | | {{Monzo| 8 -5 }} | ||
| Line 22: | Line 24: | ||
|- | |- | ||
| [[Pythagorean comma]] | | [[Pythagorean comma]] | ||
|LLw-2, wa comma | |||
| 531441/524288 | | 531441/524288 | ||
| {{Monzo| -19 12 }} | | {{Monzo| -19 12 }} | ||
| Line 27: | Line 30: | ||
|- | |- | ||
| [[17-comma]] | | [[17-comma]] | ||
|w-17, wa-17 comma | |||
| 134217728/129140163 | | 134217728/129140163 | ||
| {{Monzo| 27 -17 }} | | {{Monzo| 27 -17 }} | ||
| Line 32: | Line 36: | ||
|- | |- | ||
| [[29-comma]] | | [[29-comma]] | ||
|w-29, wa-29 comma | |||
| 70368744177664/68630377364883 | | 70368744177664/68630377364883 | ||
| {{Monzo| 46 -29 }} | | {{Monzo| 46 -29 }} | ||
| Line 37: | Line 42: | ||
|- | |- | ||
| [[41-comma]] | | [[41-comma]] | ||
| 36893488147419103232/36472996377170786403 | |w-41, wa-41 comma | ||
| 36893488147419103232/ | |||
36472996377170786403 | |||
| {{Monzo| 65 -41 }} | | {{Monzo| 65 -41 }} | ||
| 19.845 | | 19.845 | ||
|- | |- | ||
| Pythagorean integer cents comma <!-- the meaning of "integer cents" is ambiguous, because this comma is both near an integer in cents and involves integer cent fifths (702 cents), causing that term to be inconsistently used for one or the other --> | | Pythagorean integer cents comma <!-- the meaning of "integer cents" is ambiguous, because this comma is both near an integer in cents and involves integer cent fifths (702 cents), causing that term to be inconsistently used for one or the other --> | ||
|w-200, wa-200 comma | |||
| | | | ||
| {{Monzo| 317 -200 }} | | {{Monzo| 317 -200 }} | ||
| Line 47: | Line 55: | ||
|- | |- | ||
| [[Mercator's comma]], 53-comma | | [[Mercator's comma]], 53-comma | ||
| 19383245667680019896796723/19342813113834066795298816 | |w-53, wa-53 comma | ||
| 19383245667680019896796723/ | |||
19342813113834066795298816 | |||
| {{Monzo| -84 53 }} | | {{Monzo| -84 53 }} | ||
| 3.6150 | | 3.6150 | ||
|- | |- | ||
| 70-comma | | 70-comma | ||
|w-70, wa-70 comma | |||
| | | | ||
| {{Monzo| 111 -70 }} | | {{Monzo| 111 -70 }} | ||
| Line 61: | Line 72: | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
![[Kite's color notation|Color name]] | |||
! Ratio | ! Ratio | ||
! Monzo | ! Monzo | ||
| Line 66: | Line 78: | ||
|- | |- | ||
| Twenty-two thirds limma | | Twenty-two thirds limma | ||
|L<sup>3</sup>y<sup>22</sup>-6, triple large 22-fold yo neg. 6th | |||
| | | | ||
| {{Monzo| -51 0 22 }} | | {{Monzo| -51 0 22 }} | ||
| Line 71: | Line 84: | ||
|- | |- | ||
| sibbolet | | sibbolet | ||
|L<sup>4</sup>y<sup>25</sup>-7, quad-large 25-fold yo neg. 7th | |||
| | | | ||
| {{Monzo| -58 0 25 }} | | {{Monzo| -58 0 25 }} | ||
| Line 76: | Line 90: | ||
|- | |- | ||
| Hunt 5-cycle comma | | Hunt 5-cycle comma | ||
|L<sup>4</sup>y<sup>28</sup>-8, quad-large 28-fold yo neg 8ve | |||
| | | | ||
| {{Monzo| -65 0 28 }} | | {{Monzo| -65 0 28 }} | ||
| Line 81: | Line 96: | ||
|- | |- | ||
| acute thirds comma | | acute thirds comma | ||
| | |||
| | | | ||
| {{Monzo| 72 0 -31 }} | | {{Monzo| 72 0 -31 }} | ||
| Line 86: | Line 102: | ||
|- | |- | ||
| 34-5-comma | | 34-5-comma | ||
| | |||
| | | | ||
| {{Monzo| 79 0 -34 }} | | {{Monzo| 79 0 -34 }} | ||
| Line 91: | Line 108: | ||
|- | |- | ||
| Schismic thirds chromatic semitone | | Schismic thirds chromatic semitone | ||
| | |||
| | | | ||
| {{Monzo| -123 0 53 }} | | {{Monzo| -123 0 53 }} | ||
| Line 96: | Line 114: | ||
|- | |- | ||
| 10-15-comma | | 10-15-comma | ||
| | |||
| | | | ||
| {{Monzo| -39 10 10 }} | | {{Monzo| -39 10 10 }} | ||
| Line 101: | Line 120: | ||
|- | |- | ||
| 11-15-comma | | 11-15-comma | ||
| | |||
| | | | ||
| {{Monzo| 43 -11 -11 }} | | {{Monzo| 43 -11 -11 }} | ||
| Line 106: | Line 126: | ||
|- | |- | ||
| 21-15-comma | | 21-15-comma | ||
| | |||
| | | | ||
| {{Monzo| -82 21 21 }} | | {{Monzo| -82 21 21 }} | ||
| Line 111: | Line 132: | ||
|- | |- | ||
| 32-15-comma | | 32-15-comma | ||
| | |||
| | | | ||
| {{Monzo| -125 32 32 }} | | {{Monzo| -125 32 32 }} | ||
| Line 116: | Line 138: | ||
|- | |- | ||
| Huntian 15-cycle comma | | Huntian 15-cycle comma | ||
| | |||
| | | | ||
| {{Monzo| 168 -43 -43 }} | | {{Monzo| 168 -43 -43 }} | ||
| Line 121: | Line 144: | ||
|- | |- | ||
| 56-syntonic comma | | 56-syntonic comma | ||
| | |||
| | | | ||
| {{Monzo| -225 224 -56 }} | | {{Monzo| -225 224 -56 }} | ||
| Line 126: | Line 150: | ||
|- | |- | ||
| 53-15-comma | | 53-15-comma | ||
| | |||
| | | | ||
| {{Monzo| -207 53 53 }} | | {{Monzo| -207 53 53 }} | ||
| Line 131: | Line 156: | ||
|- | |- | ||
| 54-15-comma | | 54-15-comma | ||
| | |||
| | | | ||
| {{Monzo| 211 -54 -54 }} | | {{Monzo| 211 -54 -54 }} | ||
| Line 136: | Line 162: | ||
|- | |- | ||
| 76-15-comma | | 76-15-comma | ||
| | |||
| | | | ||
| {{Monzo| 297 -76 -76 }} | | {{Monzo| 297 -76 -76 }} | ||
| Line 141: | Line 168: | ||
|- | |- | ||
| major chroma, major limma, pelogic comma | | major chroma, major limma, pelogic comma | ||
|Ly1, large yo unison | |||
| [[135/128|135 / 128]] | | [[135/128|135 / 128]] | ||
| {{Monzo| -7 3 1 }} | | {{Monzo| -7 3 1 }} | ||
| Line 146: | Line 174: | ||
|- | |- | ||
| ripple | | ripple | ||
|g<sup>5</sup>2, quintgu 2nd | |||
| 6561 / 6250 | | 6561 / 6250 | ||
| {{Monzo| -1 8 -5 }} | | {{Monzo| -1 8 -5 }} | ||
| Line 151: | Line 180: | ||
|- | |- | ||
| doublewide | | doublewide | ||
|y<sup>8</sup>-2, 8-fold yo negative 2nd | |||
| 390625 / 373248 | | 390625 / 373248 | ||
| {{Monzo| -9 -6 8 }} | | {{Monzo| -9 -6 8 }} | ||
| Line 156: | Line 186: | ||
|- | |- | ||
| sevond | | sevond | ||
|sy<sup>7</sup>1, small sevenfold yo unison | |||
| 5000000 / 4782969 | | 5000000 / 4782969 | ||
| {{Monzo| 6 -14 7 }} | | {{Monzo| 6 -14 7 }} | ||
| Line 161: | Line 192: | ||
|- | |- | ||
| nusecond | | nusecond | ||
|g<sup>11</sup>3, 11-fold gu 3rd | |||
| 51018336 / 48828125 | | 51018336 / 48828125 | ||
| {{Monzo| 5 13 -11 }} | | {{Monzo| 5 13 -11 }} | ||
| Line 166: | Line 198: | ||
|- | |- | ||
| sentinel | | sentinel | ||
|L<sup>3</sup>y<sup>4</sup>-3, triple large quadyo negative 3rd | |||
| 8968066875 / 8589934592 | | 8968066875 / 8589934592 | ||
| {{Monzo| -33 15 4 }} | | {{Monzo| -33 15 4 }} | ||
| Line 171: | Line 204: | ||
|- | |- | ||
| chromatic semitone | | chromatic semitone | ||
|yy1, yoyo unison, yoyo semitone | |||
| [[25/24|25 / 24]] | | [[25/24|25 / 24]] | ||
| {{Monzo| -3 -1 2 }} | | {{Monzo| -3 -1 2 }} | ||
| Line 176: | Line 210: | ||
|- | |- | ||
| superpyth, grave minor second | | superpyth, grave minor second | ||
|sy2, small yo 2nd | |||
| 20480 / 19683 | | 20480 / 19683 | ||
| {{Monzo| 12 -9 1 }} | | {{Monzo| 12 -9 1 }} | ||
| Line 181: | Line 216: | ||
|- | |- | ||
| major diesis, diminished comma | | major diesis, diminished comma | ||
|g<sup>4</sup>2, quadgu 2nd | |||
| [[648/625|648 / 625]] | | [[648/625|648 / 625]] | ||
| {{Monzo| 3 4 -4 }} | | {{Monzo| 3 4 -4 }} | ||
| Line 186: | Line 222: | ||
|- | |- | ||
| passion | | passion | ||
|g53s | |||
| 262144 / 253125 | | 262144 / 253125 | ||
| {{Monzo| 18 -4 -5 }} | | {{Monzo| 18 -4 -5 }} | ||
| Line 191: | Line 228: | ||
|- | |- | ||
| shibboleth | | shibboleth | ||
|y<sup>9</sup>-2, ninefold yo negative 2nd | |||
| 1953125 / 1889568 | | 1953125 / 1889568 | ||
| {{Monzo| -5 -10 9 }} | | {{Monzo| -5 -10 9 }} | ||
| Line 196: | Line 234: | ||
|- | |- | ||
| mynic | | mynic | ||
|g<sup>10</sup>3, tenfold gu 3rd | |||
| 10077696 / 9765625 | | 10077696 / 9765625 | ||
| {{Monzo| 9 9 -10 }} | | {{Monzo| 9 9 -10 }} | ||
| Line 201: | Line 240: | ||
|- | |- | ||
| tritonic | | tritonic | ||
|LLy<sup>5</sup>-3, double large quintyo negative 3rd | |||
| 553584375 / 536870912 | | 553584375 / 536870912 | ||
| {{Monzo| -29 11 5 }} | | {{Monzo| -29 11 5 }} | ||
| Line 206: | Line 246: | ||
|- | |- | ||
| [[negri comma]], double augmentation diesis | | [[negri comma]], double augmentation diesis | ||
|Ly<sup>4</sup>-2, large quadyo negative 2nd | |||
| 16875 / 16384 | | 16875 / 16384 | ||
| {{Monzo| -14 3 4 }} | | {{Monzo| -14 3 4 }} | ||
| Line 211: | Line 252: | ||
|- | |- | ||
| maximal diesis, porcupine comma | | maximal diesis, porcupine comma | ||
|y<sup>3</sup>1, triple yo comma | |||
| [[250/243|250 / 243]] | | [[250/243|250 / 243]] | ||
| {{Monzo| 1 -5 3 }} | | {{Monzo| 1 -5 3 }} | ||
| Line 216: | Line 258: | ||
|- | |- | ||
| immunity | | immunity | ||
|ssyy2, double small yoyo 2nd | |||
| 1638400 / 1594323 | | 1638400 / 1594323 | ||
| {{Monzo| 16 -13 2 }} | | {{Monzo| 16 -13 2 }} | ||
| Line 221: | Line 264: | ||
|- | |- | ||
| diesis, augmented comma | | diesis, augmented comma | ||
|g<sup>3</sup>2, truple gu 2nd | |||
| [[128/125|128 / 125]] | | [[128/125|128 / 125]] | ||
| {{Monzo| 7 0 -3 }} | | {{Monzo| 7 0 -3 }} | ||
| Line 226: | Line 270: | ||
|- | |- | ||
| wizard | | wizard | ||
|LLy<sup>12</sup>-4, double large 12-fold yo neg. 4th | |||
| 2197265625 / 2147483648 | | 2197265625 / 2147483648 | ||
| {{Monzo| -31 2 12 }} | | {{Monzo| -31 2 12 }} | ||
| Line 231: | Line 276: | ||
|- | |- | ||
| sycamore | | sycamore | ||
|Ly<sup>11</sup>-3, large 11-fold yo negative 3rd | |||
| 48828125 / 47775744 | | 48828125 / 47775744 | ||
| {{Monzo| -16 -6 11 }} | | {{Monzo| -16 -6 11 }} | ||
| Line 236: | Line 282: | ||
|- | |- | ||
| fifive | | fifive | ||
|sy<sup>10</sup>-2, small tenfold yo negative 2nd | |||
| 9765625 / 9565938 | | 9765625 / 9565938 | ||
| {{Monzo| -1 -14 10 }} | | {{Monzo| -1 -14 10 }} | ||
| Line 241: | Line 288: | ||
|- | |- | ||
| unicorn | | unicorn | ||
|Lg<sup>8</sup>2, large eightfold gu 2nd | |||
| 1594323 / 1562500 | | 1594323 / 1562500 | ||
| {{Monzo| -2 13 -8 }} | | {{Monzo| -2 13 -8 }} | ||
| Line 246: | Line 294: | ||
|- | |- | ||
| valensixthtone | | valensixthtone | ||
|sg<sup>9</sup>3, small ninefold gu 3rd | |||
| 1990656 / 1953125 | | 1990656 / 1953125 | ||
| {{Monzo| 13 5 -9 }} | | {{Monzo| 13 5 -9 }} | ||
| Line 251: | Line 300: | ||
|- | |- | ||
| [[ampersand]], Ampersand's comma | | [[ampersand]], Ampersand's comma | ||
|LLy<sup>6</sup>-3, double large sixfold yo neg. 3rd | |||
| 34171875 / 33554432 | | 34171875 / 33554432 | ||
| {{Monzo| -25 7 6 }} | | {{Monzo| -25 7 6 }} | ||
| Line 256: | Line 306: | ||
|- | |- | ||
| small diesis, [[magic comma]] | | small diesis, [[magic comma]] | ||
|Ly<sup>5</sup>-2, large quintyo negative 2nd | |||
| 3125 / 3072 | | 3125 / 3072 | ||
| {{Monzo| -10 -1 5 }} | | {{Monzo| -10 -1 5 }} | ||
| Line 261: | Line 312: | ||
|- | |- | ||
| minimal diesis, [[tetracot comma]] | | minimal diesis, [[tetracot comma]] | ||
|sy<sup>4</sup>1, small quadyo unison | |||
| 20000 / 19683 | | 20000 / 19683 | ||
| {{Monzo| 5 -9 4 }} | | {{Monzo| 5 -9 4 }} | ||
| Line 266: | Line 318: | ||
|- | |- | ||
| roda | | roda | ||
|ssy<sup>3</sup>2, double small triple yo 2nd | |||
| 131072000 / 129140163 | | 131072000 / 129140163 | ||
| {{Monzo| 20 -17 3 }} | | {{Monzo| 20 -17 3 }} | ||
| Line 271: | Line 324: | ||
|- | |- | ||
| maja | | maja | ||
|sy<sup>17</sup>-3, small 17-fold yo comma | |||
| | | | ||
| {{Monzo| -3 -23 17 }} | | {{Monzo| -3 -23 17 }} | ||
| 22.368 | | 22.368 | ||
|- | |- | ||
| syntonic comma, | | syntonic / Didymos / meantone comma | ||
|g1, gu unison, gu comma | |||
| [[81/80|81 / 80]] | | [[81/80|81 / 80]] | ||
| {{Monzo| -4 4 -1 }} | | {{Monzo| -4 4 -1 }} | ||
| Line 281: | Line 336: | ||
|- | |- | ||
| [[Maquila family|maquila comma]] | | [[Maquila family|maquila comma]] | ||
|s<sup>3</sup>g<sup>17</sup>6, triple small 17-fold gu comma | |||
| | | | ||
| {{Monzo| 49 -6 -17 }} | | {{Monzo| 49 -6 -17 }} | ||
| Line 286: | Line 342: | ||
|- | |- | ||
| [[diaschisma]] | | [[diaschisma]] | ||
|sgg2, small gugu 2nd, gugu comma | |||
| 2048 / 2025 | | 2048 / 2025 | ||
| {{Monzo| 11 -4 -2 }} | | {{Monzo| 11 -4 -2 }} | ||
| Line 291: | Line 348: | ||
|- | |- | ||
| ditonma | | ditonma | ||
|LLy<sup>13</sup>-4, double large 13-fold yo neg. 4th | |||
| 1220703125 / 1207959552 | | 1220703125 / 1207959552 | ||
| {{Monzo| -27 -2 13 }} | | {{Monzo| -27 -2 13 }} | ||
| Line 296: | Line 354: | ||
|- | |- | ||
| [[misty comma]] | | [[misty comma]] | ||
|ssg<sup>3</sup>3, double small triple gu 3rd | |||
| 67108864 / 66430125 | | 67108864 / 66430125 | ||
| {{Monzo| 26 -12 -3 }} | | {{Monzo| 26 -12 -3 }} | ||
| Line 301: | Line 360: | ||
|- | |- | ||
| [[pental comma]] | | [[pental comma]] | ||
|L<sup>3</sup>g<sup>5</sup>-2, triple large quintgu negative 2nd | |||
| | | | ||
| {{Monzo| -28 25 -5 }} | | {{Monzo| -28 25 -5 }} | ||
| Line 306: | Line 366: | ||
|- | |- | ||
| [[graviton]], [[Gravity family|gravity]] comma | | [[graviton]], [[Gravity family|gravity]] comma | ||
|LLg<sup>6</sup>1, double large sixfold gu unison | |||
| 129140163 / 128000000 | | 129140163 / 128000000 | ||
| {{Monzo| -13 17 -6 }} | | {{Monzo| -13 17 -6 }} | ||
| Line 311: | Line 372: | ||
|- | |- | ||
| quartonic | | quartonic | ||
|sy<sup>11</sup>-2, small 11-fold yo negative 2nd | |||
| 390625000 / 387420489 | | 390625000 / 387420489 | ||
| {{Monzo| 3 -18 11 }} | | {{Monzo| 3 -18 11 }} | ||
| Line 316: | Line 378: | ||
|- | |- | ||
| medium semicomma, [[sensipent comma]] | | medium semicomma, [[sensipent comma]] | ||
|g<sup>7</sup>2, sevenfold gu 2nd | |||
| 78732 / 78125 | | 78732 / 78125 | ||
| {{Monzo| 2 9 -7 }} | | {{Monzo| 2 9 -7 }} | ||
| Line 321: | Line 384: | ||
|- | |- | ||
| [[Würschmidt comma]] | | [[Würschmidt comma]] | ||
|sg<sup>8</sup>3, small eightfold gu 3rd | |||
| 393216 / 390625 | | 393216 / 390625 | ||
| {{Monzo| 17 1 -8 }} | | {{Monzo| 17 1 -8 }} | ||
| Line 326: | Line 390: | ||
|- | |- | ||
| [[semicomma]], Fokker comma | | [[semicomma]], Fokker comma | ||
|Ly<sup>7</sup>-3, large sevenfold yo negative 3rd | |||
| 2109375 / 2097152 | | 2109375 / 2097152 | ||
| {{Monzo| -21 3 7 }} | | {{Monzo| -21 3 7 }} | ||
| Line 331: | Line 396: | ||
|- | |- | ||
| [[escapade comma]] | | [[escapade comma]] | ||
|ssg<sup>9</sup>4, double small ninefold gu 4th | |||
| 4294967296 / 4271484375 | | 4294967296 / 4271484375 | ||
| {{Monzo| 32 -7 -9 }} | | {{Monzo| 32 -7 -9 }} | ||
| Line 336: | Line 402: | ||
|- | |- | ||
| [[kleisma]], semicomma majeur | | [[kleisma]], semicomma majeur | ||
|y<sup>6</sup>-2, sixfold yo negative 2nd | |||
| 15625 / 15552 | | 15625 / 15552 | ||
| {{Monzo| -6 -5 6 }} | | {{Monzo| -6 -5 6 }} | ||
| Line 341: | Line 408: | ||
|- | |- | ||
| unidecma | | unidecma | ||
|Lg<sup>12</sup>2, large 12-fold gu 2nd | |||
| 31381059609 / 31250000000 | | 31381059609 / 31250000000 | ||
| {{Monzo| -7 22 -12 }} | | {{Monzo| -7 22 -12 }} | ||
| Line 346: | Line 414: | ||
|- | |- | ||
| [[mutt comma]] | | [[mutt comma]] | ||
|L<sup>3</sup>y<sup>21</sup>-6, triple large 21-fold yo neg. 6th | |||
| | | | ||
| {{Monzo| -44 -3 21 }} | | {{Monzo| -44 -3 21 }} | ||
| Line 351: | Line 420: | ||
|- | |- | ||
| [[amity comma]] | | [[amity comma]] | ||
|sy<sup>5</sup>1, small quintyo unison | |||
| 1600000 / 1594323 | | 1600000 / 1594323 | ||
| {{Monzo| 9 -13 5 }} | | {{Monzo| 9 -13 5 }} | ||
| Line 356: | Line 426: | ||
|- | |- | ||
| [[parakleisma]] | | [[parakleisma]] | ||
|g<sup>13</sup>3, 13-fold gu 3rd | |||
| 1224440064 / 1220703125 | | 1224440064 / 1220703125 | ||
| {{Monzo| 8 14 -13 }} | | {{Monzo| 8 14 -13 }} | ||
| Line 361: | Line 432: | ||
|- | |- | ||
| gammic comma | | gammic comma | ||
|Ly<sup>20</sup>-5, large 20-fold yo negative 5th | |||
| | | | ||
| {{Monzo| -29 -11 20 }} | | {{Monzo| -29 -11 20 }} | ||
| Line 366: | Line 438: | ||
|- | |- | ||
| [[vulture comma]] | | [[vulture comma]] | ||
|ssy<sup>4</sup>2, double small quadyo 2nd | |||
| 10485760000 / 10460353203 | | 10485760000 / 10460353203 | ||
| {{Monzo| 24 -21 4 }} | | {{Monzo| 24 -21 4 }} | ||
| Line 371: | Line 444: | ||
|- | |- | ||
| 23-3/5-comma | | 23-3/5-comma | ||
| | |||
| | | | ||
| {{Monzo| 17 23 -23 }} | | {{Monzo| 17 23 -23 }} | ||
| Line 376: | Line 450: | ||
|- | |- | ||
| 34-3/5-comma | | 34-3/5-comma | ||
| | |||
| | | | ||
| {{Monzo| -25 -34 34 }} | | {{Monzo| -25 -34 34 }} | ||
| Line 381: | Line 456: | ||
|- | |- | ||
| 53-3/5-comma | | 53-3/5-comma | ||
| | |||
| | | | ||
| {{Monzo| -39 -53 53 }} | | {{Monzo| -39 -53 53 }} | ||
Revision as of 06:42, 1 November 2018
Definition
A comma is a small interval that occurs in just intonation, between two intervals which are close in pitch. Commas are always greater than 1 (0 cents) and not a power such as a square or cube of any other interval, and generally in a low prime limit. The word is often used in reference to regular tempering when the comma is tempered out, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by meantone temperament. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in cents.
For commas over 100 cents in size, see Large commas; and for commas under 3.5 cents in size, see Unnoticeable commas
Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the convention elsewhere on the wiki.
List of commas, by prime limit
3-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents |
|---|---|---|---|---|
| limma, Pythagorean minor second | sw2, small wa 2nd | 256 / 243 | [8 -5⟩ | 90.225 |
| Pythagorean comma | LLw-2, wa comma | 531441/524288 | [-19 12⟩ | 23.460 |
| 17-comma | w-17, wa-17 comma | 134217728/129140163 | [27 -17⟩ | 66.765 |
| 29-comma | w-29, wa-29 comma | 70368744177664/68630377364883 | [46 -29⟩ | 43.305 |
| 41-comma | w-41, wa-41 comma | 36893488147419103232/
36472996377170786403 |
[65 -41⟩ | 19.845 |
| Pythagorean integer cents comma | w-200, wa-200 comma | [317 -200⟩ | 8.9998 | |
| Mercator's comma, 53-comma | w-53, wa-53 comma | 19383245667680019896796723/
19342813113834066795298816 |
[-84 53⟩ | 3.6150 |
| 70-comma | w-70, wa-70 comma | [111 -70⟩ | 63.150 |
5-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents |
|---|---|---|---|---|
| Twenty-two thirds limma | L3y22-6, triple large 22-fold yo neg. 6th | [-51 0 22⟩ | 98.902 | |
| sibbolet | L4y25-7, quad-large 25-fold yo neg. 7th | [-58 0 25⟩ | 57.843 | |
| Hunt 5-cycle comma | L4y28-8, quad-large 28-fold yo neg 8ve | [-65 0 28⟩ | 16.784 | |
| acute thirds comma | [72 0 -31⟩ | 24.275 | ||
| 34-5-comma | [79 0 -34⟩ | 65.334 | ||
| Schismic thirds chromatic semitone | [-123 0 53⟩ | 74.627 | ||
| 10-15-comma | [-39 10 10⟩ | 82.687 | ||
| 11-15-comma | [43 -11 -11⟩ | 29.044 | ||
| 21-15-comma | [-82 21 21⟩ | 53.643 | ||
| 32-15-comma | [-125 32 32⟩ | 24.599 | ||
| Huntian 15-cycle comma | [168 -43 -43⟩ | 4.4453 | ||
| 56-syntonic comma | [-225 224 -56⟩ | 4.3522 | ||
| 53-15-comma | [-207 53 53⟩ | 78.242 | ||
| 54-15-comma | [211 -54 -54⟩ | 33.489 | ||
| 76-15-comma | [297 -76 -76⟩ | 91.578 | ||
| major chroma, major limma, pelogic comma | Ly1, large yo unison | 135 / 128 | [-7 3 1⟩ | 92.179 |
| ripple | g52, quintgu 2nd | 6561 / 6250 | [-1 8 -5⟩ | 84.071 |
| doublewide | y8-2, 8-fold yo negative 2nd | 390625 / 373248 | [-9 -6 8⟩ | 78.780 |
| sevond | sy71, small sevenfold yo unison | 5000000 / 4782969 | [6 -14 7⟩ | 76.826 |
| nusecond | g113, 11-fold gu 3rd | 51018336 / 48828125 | [5 13 -11⟩ | 75.964 |
| sentinel | L3y4-3, triple large quadyo negative 3rd | 8968066875 / 8589934592 | [-33 15 4⟩ | 74.580 |
| chromatic semitone | yy1, yoyo unison, yoyo semitone | 25 / 24 | [-3 -1 2⟩ | 70.672 |
| superpyth, grave minor second | sy2, small yo 2nd | 20480 / 19683 | [12 -9 1⟩ | 68.719 |
| major diesis, diminished comma | g42, quadgu 2nd | 648 / 625 | [3 4 -4⟩ | 62.565 |
| passion | g53s | 262144 / 253125 | [18 -4 -5⟩ | 60.611 |
| shibboleth | y9-2, ninefold yo negative 2nd | 1953125 / 1889568 | [-5 -10 9⟩ | 57.273 |
| mynic | g103, tenfold gu 3rd | 10077696 / 9765625 | [9 9 -10⟩ | 54.458 |
| tritonic | LLy5-3, double large quintyo negative 3rd | 553584375 / 536870912 | [-29 11 5⟩ | 53.074 |
| negri comma, double augmentation diesis | Ly4-2, large quadyo negative 2nd | 16875 / 16384 | [-14 3 4⟩ | 51.120 |
| maximal diesis, porcupine comma | y31, triple yo comma | 250 / 243 | [1 -5 3⟩ | 49.166 |
| immunity | ssyy2, double small yoyo 2nd | 1638400 / 1594323 | [16 -13 2⟩ | 47.212 |
| diesis, augmented comma | g32, truple gu 2nd | 128 / 125 | [7 0 -3⟩ | 41.059 |
| wizard | LLy12-4, double large 12-fold yo neg. 4th | 2197265625 / 2147483648 | [-31 2 12⟩ | 39.675 |
| sycamore | Ly11-3, large 11-fold yo negative 3rd | 48828125 / 47775744 | [-16 -6 11⟩ | 37.721 |
| fifive | sy10-2, small tenfold yo negative 2nd | 9765625 / 9565938 | [-1 -14 10⟩ | 35.767 |
| unicorn | Lg82, large eightfold gu 2nd | 1594323 / 1562500 | [-2 13 -8⟩ | 34.905 |
| valensixthtone | sg93, small ninefold gu 3rd | 1990656 / 1953125 | [13 5 -9⟩ | 32.952 |
| ampersand, Ampersand's comma | LLy6-3, double large sixfold yo neg. 3rd | 34171875 / 33554432 | [-25 7 6⟩ | 31.567 |
| small diesis, magic comma | Ly5-2, large quintyo negative 2nd | 3125 / 3072 | [-10 -1 5⟩ | 29.614 |
| minimal diesis, tetracot comma | sy41, small quadyo unison | 20000 / 19683 | [5 -9 4⟩ | 27.660 |
| roda | ssy32, double small triple yo 2nd | 131072000 / 129140163 | [20 -17 3⟩ | 25.706 |
| maja | sy17-3, small 17-fold yo comma | [-3 -23 17⟩ | 22.368 | |
| syntonic / Didymos / meantone comma | g1, gu unison, gu comma | 81 / 80 | [-4 4 -1⟩ | 21.506 |
| maquila comma | s3g176, triple small 17-fold gu comma | [49 -6 -17⟩ | 20.937 | |
| diaschisma | sgg2, small gugu 2nd, gugu comma | 2048 / 2025 | [11 -4 -2⟩ | 19.553 |
| ditonma | LLy13-4, double large 13-fold yo neg. 4th | 1220703125 / 1207959552 | [-27 -2 13⟩ | 18.168 |
| misty comma | ssg33, double small triple gu 3rd | 67108864 / 66430125 | [26 -12 -3⟩ | 17.599 |
| pental comma | L3g5-2, triple large quintgu negative 2nd | [-28 25 -5⟩ | 17.306 | |
| graviton, gravity comma | LLg61, double large sixfold gu unison | 129140163 / 128000000 | [-13 17 -6⟩ | 15.353 |
| quartonic | sy11-2, small 11-fold yo negative 2nd | 390625000 / 387420489 | [3 -18 11⟩ | 14.261 |
| medium semicomma, sensipent comma | g72, sevenfold gu 2nd | 78732 / 78125 | [2 9 -7⟩ | 13.399 |
| Würschmidt comma | sg83, small eightfold gu 3rd | 393216 / 390625 | [17 1 -8⟩ | 11.445 |
| semicomma, Fokker comma | Ly7-3, large sevenfold yo negative 3rd | 2109375 / 2097152 | [-21 3 7⟩ | 10.061 |
| escapade comma | ssg94, double small ninefold gu 4th | 4294967296 / 4271484375 | [32 -7 -9⟩ | 9.4916 |
| kleisma, semicomma majeur | y6-2, sixfold yo negative 2nd | 15625 / 15552 | [-6 -5 6⟩ | 8.1073 |
| unidecma | Lg122, large 12-fold gu 2nd | 31381059609 / 31250000000 | [-7 22 -12⟩ | 7.2455 |
| mutt comma | L3y21-6, triple large 21-fold yo neg. 6th | [-44 -3 21⟩ | 6.7230 | |
| amity comma | sy51, small quintyo unison | 1600000 / 1594323 | [9 -13 5⟩ | 6.1536 |
| parakleisma | g133, 13-fold gu 3rd | 1224440064 / 1220703125 | [8 14 -13⟩ | 5.2917 |
| gammic comma | Ly20-5, large 20-fold yo negative 5th | [-29 -11 20⟩ | 4.7693 | |
| vulture comma | ssy42, double small quadyo 2nd | 10485760000 / 10460353203 | [24 -21 4⟩ | 4.1998 |
| 23-3/5-comma | [17 23 -23⟩ | 59.750 | ||
| 34-3/5-comma | [-25 -34 34⟩ | 68.196 | ||
| 53-3/5-comma | [-39 -53 53⟩ | 71.012 |
7-limit commas
| Name(s) | Ratio | Monzo | Cents |
|---|---|---|---|
| hexadecatone comma, 16-7-comma | [45 0 0 -16⟩ | 98.785 | |
| 21-7-comma | [59 0 0 -21⟩ | 54.656 | |
| Hunt 7-cycle comma | [73 0 0 -26⟩ | 10.526 | |
| German sixth comma | [-87 0 0 31⟩ | 33.603 | |
| large deep red comma | 6561 / 6272 | [-7, 8, 0 -2⟩ | 77.988 |
| 36-7-comma | [-101 0 0 36⟩ | 77.736 | |
| 47-7-comma | [132 0 0 -47⟩ | 65.182 | |
| [1123 0 0 -400⟩ | 69.637 | ||
| 29-7/5-comma | [-14 0 -29 29⟩ | 92.854 | |
| 31-7/5-comma | [-15 0 -31 31⟩ | 57.878 | |
| 33-7/5-comma | [-16 0 -33 33⟩ | 22.902 | |
| 35-7/5-comma | [17 0 35 -35⟩ | 12.073 | |
| 37-7/5-comma | [18 0 37 -37⟩ | 47.049 | |
| 39-7/5-comma | [19 0 39 -39⟩ | 82.024 | |
| 5-21-comma | 4194304 / 4084101 | [22 -5 0 -5⟩ | 46.095 |
| 18-21-comma | [-79 18 0 18⟩ | 74.056 | |
| 23-21-comma | [-101 23 0 23⟩ | 27.961 | |
| Huntian 21-cycle comma | [123 -28 0 -28⟩ | 18.135 | |
| 33-21-comma | [145 -33 0 -33⟩ | 64.230 | |
| 8-35-comma | [-41 0 8 8⟩ | 41.117 | |
| 15-35-comma | [77 0 -15 -15⟩ | 72.906 | |
| 23-35-comma | [118 0 -23 -23⟩ | 31.789 | |
| 31-35-comma | [-159 0 31 31⟩ | 9.3282 | |
| 39-35-comma | [-200 0 39 39⟩ | 50.445 | |
| 47-35-comma | [-241 0 47 47⟩ | 91.562 | |
| Huntian 35-cycle comma | [277 0 -54 -54⟩ | 22.461 | |
| greenwoodma | 405 / 392 | [-3 4 1 -2⟩ | 56.482 |
| Harrison's comma | 59049 / 57344 | [-13 10 0 -1⟩ | 50.724 |
| keega | 1029 / 1000 | [-3 1 -3 3⟩ | 49.492 |
| septimal quarter tone | 36 / 35 | [2 2 -1 -1⟩ | 48.770 |
| quarter tone comma | [49 50 -25 -25⟩ | 19.260 | |
| cloudy | 16807 / 16384 | [-14 0 0 5⟩ | 44.130 |
| Avicenna, Avicenna's enharmonic diesis | 525 / 512 | [-9 1 2 1⟩ | 43.408 |
| slendro diesis | 49 / 48 | [-4 -1 0 2⟩ | 35.697 |
| slendro 34-comma | [-137 -34 0 68⟩ | 13.692 | |
| 34-jubilismic comma | [-33 0 -68 68⟩ | 10.829 | |
| tritonic diesis, jubilisma | 50 / 49 | [1 0 2 -2⟩ | 34.976 |
| eric | 839808 / 823543 | [7 8 0 -7⟩ | 33.859 |
| senga | 686 / 675 | [1 -3 -2 3⟩ | 27.985 |
| septimal comma, Archytas' comma, Leipziger Komma | 64 / 63 | [6 -2 0 -1⟩ | 27.264 |
| blackjackisma | 854296875 / 843308032 | [-10 7 8 -7⟩ | 22.413 |
| squalentine | 64827 / 64000 | [-9 3 -3 4⟩ | 22.227 |
| keema | 875 / 864 | [-5 -3 3 1⟩ | 21.902 |
| gariboh | 3125 / 3087 | [0 -2 5 -3⟩ | 21.181 |
| nuwell | 2430 / 2401 | [1 5 1 -4⟩ | 20.785 |
| tolerma | 179200 / 177147 | [10 -11 2 1⟩ | 19.948 |
| mirwomo | 33075 / 32768 | [-15 3 2 2⟩ | 16.144 |
| trimyna | 50421 / 50000 | [-4 1 -5 5⟩ | 14.516 |
| sensamagic | 245 / 243 | [0 -5 1 2⟩ | 14.191 |
| septimal semicomma, starling comma | 126 / 125 | [1 2 -3 1⟩ | 13.795 |
| octagar | 4000 / 3969 | [5 -4 3 -2⟩ | 13.469 |
| orwellisma, orwell comma | 1728 / 1715 | [6 3 -1 -3⟩ | 13.074 |
| quince | 823543 / 819200 | [-15 0 -2 7⟩ | 9.1539 |
| gamelisma | 1029 / 1024 | [-10 1 0 3⟩ | 8.4327 |
| varunisma | 321489 / 320000 | [-9 8 -4 2⟩ | 8.0370 |
| septimal kleisma, marvel comma | 225 / 224 | [-5 2 2 -1⟩ | 7.7115 |
| dimcomp | 390625 / 388962 | [-1 -4 8 -4⟩ | 7.3861 |
| cataharry | 19683 / 19600 | [-4 9 -2 -2⟩ | 7.3158 |
| mirkwai | 16875 / 16807 | [0 3 4 -5⟩ | 6.9903 |
| stearnsma | 118098 / 117649 | [1 10 0 -6⟩ | 6.5946 |
| hemimage | 10976 / 10935 | [5 -7 -1 3⟩ | 6.4790 |
| hemimean | 3136 / 3125 | [6 0 -5 2⟩ | 6.0832 |
| hemifamity | 5120 / 5103 | [10 -6 1 -1⟩ | 5.7578 |
| linus | [11 -10 -10 10⟩ | 5.5719 | |
| porwell | 6144 / 6125 | [11 1 -3 -2⟩ | 5.3620 |
| garischisma | 33554432 / 33480783 | [25 -14 0 -1⟩ | 3.8041 |
| wadisma | 201768035 / 201326592 | [-26 -1 1 9⟩ | 3.7919 |
| quasiorwellisma | 29360128 / 29296875 | [22 -1 -10 1⟩ | 3.7338 |
| 218edo (stacked 7/4 and 10/9) comma | [22 -32 16 -3⟩ | 11.982 | |
| bapbo | 256 / 245 | [8 0 -1 -2⟩ | 76.034 |
11-limit commas
| Name(s) | Ratio | Monzo | Cents |
|---|---|---|---|
| 11-cycle chroma, 11-11-comma | [-38 0 0 0 11⟩ | 64.497 | |
| 11-cycle major seventh prote, 35-11-comma | [-121 0 0 0 35⟩ | 96.128 | |
| Hunt 11-cycle comma | [-83 0 0 0 24⟩ | 31.631 | |
| Hunt flat 5 comma | 8192 / 8019 | [13 -6 0 0 -1⟩ | 36.952 |
| sterno | 352 / 343 | [5 0 0 -3 1⟩ | 44.840 |
| the Igs boson, 13-11-comma | [45 0 0 0 -13⟩ | 32.867 | |
| telepathma | 55 / 54 | [-1 -3 1 0 1⟩ | 31.767 |
| thuja comma | 163840 / 161051 | [15 0 1 0 -5⟩ | 29.724 |
| sensmus | 1232 / 1215 | [4 -5 -1 1 1⟩ | 24.055 |
| sevnothrush | 3168 / 3125 | [5 2 -5 0 1⟩ | 23.659 |
| cassacot | 245 / 242 | [-1 0 1 2 -2⟩ | 21.330 |
| mothwellsma | 99 / 98 | [-1 2 0 -2 1⟩ | 17.576 |
| ptolemisma | 100 / 99 | [2 -2 2 0 -1⟩ | 17.399 |
| hemimin | 1344 / 1331 | [6 1 0 1 -3⟩ | 16.827 |
| biyatisma | 121 / 120 | [-3 -1 -1 0 2⟩ | 14.367 |
| aphrowe | 1331 / 1323 | [0 -3 0 -2 3⟩ | 10.437 |
| valinorsma | 176 / 175 | [4 0 -2 -1 1⟩ | 9.8646 |
| pentacircle | 896 / 891 | [7 -4 0 1 -1⟩ | 9.6880 |
| orgonisma | 65536 / 65219 | [16 0 0 -2 -3⟩ | 8.3944 |
| rastma | 243 / 242 | [-1 5 0 0 -2⟩ | 7.1391 |
| myhemiwell | 3388 / 3375 | [2 -3 -3 1 2⟩ | 6.6556 |
| keenanisma | 385 / 384 | [-7 -1 1 1 1⟩ | 4.5026 |
| werckisma | 441 / 440 | [-3 2 -1 2 -1⟩ | 3.9302 |
| moctdel | 1375 / 1372 | [-2 0 3 -3 1⟩ | 3.7814 |
13-limit commas
| Name(s) | Ratio | Monzo | Cents |
|---|---|---|---|
| Sinbadma | 1001 / 1000 | [-3 0 -3 1 1 1⟩ | 1.7304 |
| Hunt 13-cycle comma | [-37 0 0 0 0 10⟩ | 5.2766 | |
| [-8881 0 0 0 0 2400⟩ | 66.389 | ||
| Hunt minor submediant comma | 1053 / 1024 | [-10 4 0 0 0 1⟩ | 48.348 |
| astburyp | 4826809 / 4718592 | [-19 -2 0 0 0 6⟩ | 39.255 |
| wilsorma | 65 / 64 | [-6 0 1 0 0 1⟩ | 26.841 |
| winmeanma | 66 / 65 | [1 1 -1 0 1 -1⟩ | 26.432 |
| negustma | 78 / 77 | [1 1 0 -1 -1 1⟩ | 22.339 |
| superleap | 91 / 90 | [-1 -2 -1 1 0 1⟩ | 19.130 |
| animist | 105 / 104 | [-3 1 1 1 0 -1⟩ | 16.567 |
| secorian | 28672 / 28431 | [12 -7 0 1 0 -1⟩ | 14.613 |
| mosaic | 3159 / 3136 | [-6 5 0 -2 0 1⟩ | 12.651 |
| gassorma | 275 / 273 | [0 -1 2 -1 1 -1⟩ | 12.637 |
| grossma | 144 / 143 | [4 2 0 0 -1 -1⟩ | 12.064 |
| buzurgisma, dhanvantarisma | 169 / 168 | [-3 -1 0 -1 0 2⟩ | 10.274 |
| catadictma | 1287 / 1280 | [-8 2 -1 0 1 1⟩ | 9.4419 |
| mynucuma | 196 / 195 | [2 -1 -1 2 0 -1⟩ | 8.8554 |
| huntma | 640 / 637 | [7 0 1 -2 0 -1⟩ | 8.1342 |
| threedie | 2197 / 2187 | [0 -7 0 0 0 3⟩ | 7.8980 |
| kestrel comma | 1188 / 1183 | [2 3 0 -1 1 -2⟩ | 7.3017 |
| marveltwin | 325 / 324 | [-2 -4 2 0 0 1⟩ | 5.3351 |
| ratwolfsma | 351 / 350 | [-1 3 -2 -1 0 1⟩ | 4.9393 |
| minthma | 352 / 351 | [5 -3 0 0 1 -1⟩ | 4.9253 |
| gentle comma | 364 / 363 | [2 -1 0 1 -2 1⟩ | 4.7627 |
| cuthbert | 847 / 845 | [0 0 -1 1 2 -2⟩ | 4.0928 |
17-limit commas
| Name(s) | Ratio | Monzo | Cents |
|---|---|---|---|
| 11 semitone comma | [45 0 0 0 0 0 -11⟩ | 45.490 | |
| 12 semitone comma | [-49 0 0 0 0 0 12⟩ | 59.465 | |
| 23 semitone comma | [-94 0 0 0 0 0 23⟩ | 13.974 | |
| Hunt 17-cycle comma | [139 0 0 0 0 0 -34⟩ | 31.516 | |
| 17-ripple |
[327 0 0 0 0 0 -80⟩ | 3.5672 | |
| Hunt flat 2 comma | 4131 / 4096 | [-12 5 0 0 0 0 1⟩ | 14.730 |
| Blume comma | 2057 / 2048 | [-11 0 0 0 2 0 1⟩ | 7.5913 |
| Septendecimal integer cents comma | 289 / 288 | [-5 -2 0 0 0 0 2⟩ | 6.0008 |
| Tannisma | 273/272 | [-4 1 0 1 0 1 -1⟩ | 6.3532 |
19-limit commas
| Name(s) | Ratio | Monzo | Cents |
|---|---|---|---|
| Hunt 19-cycle comma | 131072 / 130321 | [17 0 0 0 0 0 0 -4⟩ | 9.9479 |
| spleen comma | 210 / 209 | [1 1 1 1 -1 0 0 -1⟩ | 8.2637 |
| go comma | 361 / 360 | [-3 -2 -1 0 0 0 0 2⟩ | 4.8023 |